scholarly journals Free vibrations and static analysis of functionally graded sandwich plates with three-dimensional finite elements

Meccanica ◽  
2019 ◽  
Vol 55 (4) ◽  
pp. 815-832 ◽  
Author(s):  
Vyacheslav N. Burlayenko ◽  
Tomasz Sadowski
Keyword(s):  
Finite Elements ◽  
Static Analysis ◽  
Three Dimensional ◽  
Free Vibrations ◽  
Functionally Graded ◽  
Sandwich Plates

A refined quasi-3D shear deformation theory for thermo-mechanical behavior of functionally graded sandwich plates on elastic foundations

2017 ◽  
Vol 21 (6) ◽  
pp. 1906-1929 ◽  
Author(s):  
Abdelkader Mahmoudi ◽  
Samir Benyoucef ◽  
Abdelouahed Tounsi ◽  
Abdelkader Benachour ◽  
El Abbas Adda Bedia ◽  
...  
Keyword(s):  
Boundary Conditions ◽  
Shear Deformation ◽  
Elastic Foundation ◽  
Deformation Theory ◽  
Three Dimensional ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Sandwich Plates ◽  
Refined Theory ◽  
Governing Equations

In this paper, a refined quasi-three-dimensional shear deformation theory for thermo-mechanical analysis of functionally graded sandwich plates resting on a two-parameter (Pasternak model) elastic foundation is developed. Unlike the other higher-order theories the number of unknowns and governing equations of the present theory is only four against six or more unknown displacement functions used in the corresponding ones. Furthermore, this theory takes into account the stretching effect due to its quasi-three-dimensional nature. The boundary conditions in the top and bottoms surfaces of the sandwich functionally graded plate are satisfied and no correction factor is required. Various types of functionally graded material sandwich plates are considered. The governing equations and boundary conditions are derived using the principle of virtual displacements. Numerical examples, selected from the literature, are illustrated. A good agreement is obtained between numerical results of the refined theory and the reference solutions. A parametric study is presented to examine the effect of the material gradation and elastic foundation on the deflections and stresses of functionally graded sandwich plate resting on elastic foundation subjected to thermo-mechanical loading.

Computational Models for Sandwich Panels and Shells

1996 ◽  
Vol 49 (3) ◽  
pp. 155-199 ◽  
Author(s):  
Ahmed K. Noor ◽  
W. Scott Burton ◽  
Charles W. Bert
Keyword(s):  
Computational Models ◽  
Experimental Studies ◽  
Three Dimensional ◽  
Local Buckling ◽  
Sandwich Panels ◽  
Free Vibrations ◽  
Sandwich Plates ◽  
Material Parameters ◽  
Sandwich Plates And Shells ◽  
Plates And Shells

The focus of this review is on the hierarchy of computational models for sandwich plates and shells, predictor-corrector procedures, and the sensitivity of the sandwich response to variations in the different geometric and material parameters. The literature reviewed is devoted to the following application areas: heat transfer problems; thermal and mechanical stresses (including boundary layer and edge stresses); free vibrations and damping; transient dynamic response; bifurcation buckling, local buckling, face-sheet wrinkling and core crimping; large deflection and postbuckling problems; effects of discontinuities (eg, cutouts and stiffeners), and geometric changes (eg, tapered thickness); damage and failure of sandwich structures; experimental studies; optimization and design studies. Over 800 relevant references are cited in this review, and another 559 references are included in a supplemental bibliography for completeness. Extensive numerical results are presented for thermally stressed sandwich panels with composite face sheets showing the effects of variation in their geometric and material parameters on the accuracy of the free vibration response, and the sensitivity coefficients predicted by eight different modeling approaches (based on two-dimensional theories). The standard of comparison is taken to be the analytic three-dimensional thermoelasticity solutions. Some future directions for research on the modeling of sandwich plates and shells are outlined.

Static analysis of functionally graded sandwich plates according to a hyperbolic theory considering Zig-Zag and warping effects

2012 ◽  
Vol 52 ◽  
pp. 30-43 ◽  
Author(s):  
A.M.A. Neves ◽  
A.J.M. Ferreira ◽  
E. Carrera ◽  
M. Cinefra ◽  
R.M.N. Jorge ◽  
...  
Keyword(s):  
Static Analysis ◽  
Functionally Graded ◽  
Sandwich Plates

Static analysis of functionally graded nanocomposite sandwich plates reinforced by defected CNT

2018 ◽  
Vol 200 ◽  
pp. 839-848 ◽  
Author(s):  
Rasool Moradi-Dastjerdi ◽  
Farshid Aghadavoudi
Keyword(s):  
Static Analysis ◽  
Functionally Graded ◽  
Sandwich Plates

scholarly journals Three-Dimensional Free Vibration Analysis of Thermally Loaded FGM Sandwich Plates

Materials ◽  
2019 ◽  
Vol 12 (15) ◽  
pp. 2377 ◽  
Author(s):  
Burlayenko ◽  
Sadowski ◽  
Dimitrova
Keyword(s):  
Finite Element ◽  
High Efficiency ◽  
Volume Fraction ◽  
Plate Thickness ◽  
Three Dimensional ◽  
Free Vibration Analysis ◽  
Free Vibrations ◽  
Gradient Material ◽  
Benchmark Problems ◽  
Sandwich Plates

Using the finite element code ABAQUS and the user-defined material utilities UMAT and UMATHT, a solid brick graded finite element is developed for three-dimensional (3D) modeling of free vibrations of thermally loaded functionally gradient material (FGM) sandwich plates. The mechanical and thermal material properties of the FGM sandwich plates are assumed to vary gradually in the thickness direction, according to a power-law fraction distribution. Benchmark problems are firstly considered to assess the performance and accuracy of the proposed 3D graded finite element. Comparisons with the reference solutions revealed high efficiency and good capabilities of the developed element for the 3D simulations of thermomechanical and vibration responses of FGM sandwich plates. Some parametric studies are carried out for the frequency analysis by varying the volume fraction profile and the temperature distribution across the plate thickness.

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